13edo: Difference between revisions

Contribution (talk | contribs)
Logarithmic phi: 79 does not belong to the fibonacci sequence and therefore is not relevant for logarithmic phi
Contribution (talk | contribs)
Line 359: Line 359:


=== Acoustic phi ===
=== Acoustic phi ===
13edo has a very close approximation of [[acoustic phi]] (9\13), with only -2.3 cents of error. 23edo and 36edo are even closer, but unlike all closer EDOs, 13-EDO has no other interval that represents any ratio from the Fibonacci sequence (3/2, 5/3, 8/5, 13/8, 21/13, etc.) except of course for 1/1 and 2/1. In a way, one could say that 13-EDO is the only EDO that tempers the ratios of the Fibonacci sequence into a single interval.
13edo has a very close approximation of [[acoustic phi]] (9\13), with only -2.3 cents of error. [[23edo]] and [[36edo]] are even closer, but unlike all closer EDOs, 13-EDO has no other interval that represents any ratio from the Fibonacci sequence (3/2, 5/3, 8/5, 13/8, 21/13, etc.) except of course for 1/1 and 2/1. In a way, one could say that 13-EDO is the only EDO that tempers the ratios of the Fibonacci sequence into a single interval.


See also: [[9edϕ]]
See also: [[9edϕ]]